
where \(x_{H_i^\pm }\)  and \(x_t\)  denote the mass fraction \(x_{H_i^\pm }=m^2_{H_i^\pm }/m_W^2\)  (i=1,2) and \(x_{t}=\bar{m}^2_{t}(\mu _0)/m_W^2\)  with \(\bar{m}_{t}(\mu _0)\)  being the running mass at the scale \(\mu _0\) .
The terms with \(x_b\)  is neglected in these expressions.
We note that the limit \(x_{j}\rightarrow x_{i} \)  in \(C_{VLL}^{H^\pm _iH^\pm _j}\)  with the replacement \(\xi _{H^\pm _j}= \xi _{H^\pm _i} \)  reproduces the result of 2HDMs [1]}, [2]}, [3]}, [4]}.
